What is 1.77282 as a fraction?

Answer: 1.77282 as a fraction equals 177282/100000 or 88641/50000

Here is the solution for converting 1.77282 to a fraction:

Step 1:

First, we write 1.77282 as  

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point. Remember the numerator is the top part of the fraction and the denominator is the bottom part!

1.77282/1

  =  

1.77282 x 100000/1 x 100000

  =  

177282/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 177282 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 177282 are: 1  2  3  6  7  9  14  18  21  27  42  49  54  63  67  98  126  134  147  189  201  294  378  402  441  469  603  882  938  1206  1323  1407  1809  2646  2814  3283  3618  4221  6566  8442  9849  12663  19698  25326  29547  59094  88641  177282 
The factors of 100000 are: 1  2  4  5  8  10  16  20  25  32  40  50  80  100  125  160  200  250  400  500  625  800  1000  1250  2000  2500  3125  4000  5000  6250  10000  12500  20000  25000  50000  100000 
So for 177282 and 100000 that gives us a GCF value of: 2

Step 4:

For the last step we reduce the fraction. This just means writing the fraction in the simplest way. To do this we divide both the numerator and denominator by the GCF value we determined in step 3.

177282/100000

  =  

177282 ÷ 2/100000 ÷ 2

  =  

88641/50000

Good work! We have just walked through the steps on how to represent 1.77282 as a fraction.